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4404125131320 = 2335101643565127
BaseRepresentation
bin100000000010110101001…
…0100000110001000111000
3120121000211001102110021110
41000011222110012020320
51034124122013200240
613211121022040320
7633121216643055
oct100055224061070
916530731373243
104404125131320
111448862904202
125b16707190a0
1325c3cbc5ab85
1411323730a02c
1579864ae4c80
hex4016a506238

4404125131320 has 128 divisors (see below), whose sum is σ = 13363966103040. Its totient is φ = 1160994854400.

The previous prime is 4404125131309. The next prime is 4404125131321. The reversal of 4404125131320 is 231315214044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404125131321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7510597 + ... + 8075723.

It is an arithmetic number, because the mean of its divisors is an integer number (104405985180).

Almost surely, 24404125131320 is an apocalyptic number.

4404125131320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404125131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681983051520).

4404125131320 is an abundant number, since it is smaller than the sum of its proper divisors (8959840971720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4404125131320 is a wasteful number, since it uses less digits than its factorization.

4404125131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565885 (or 565881 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 4404125131320 in words is "four trillion, four hundred four billion, one hundred twenty-five million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 643 808 1010 1212 1286 1515 1929 2020 2424 2572 3030 3215 3858 4040 5144 6060 6430 7716 9645 12120 12860 15432 19290 25720 38580 64943 77160 129886 194829 259772 324715 389658 519544 565127 649430 779316 974145 1130254 1298860 1558632 1695381 1948290 2260508 2597720 2825635 3390762 3896580 4521016 5651270 6781524 7793160 8476905 11302540 13563048 16953810 22605080 33907620 57077827 67815240 114155654 171233481 228311308 285389135 342466962 363376661 456622616 570778270 684933924 726753322 856167405 1090129983 1141556540 1369867848 1453506644 1712334810 1816883305 2180259966 2283113080 2907013288 3424669620 3633766610 4360519932 5450649915 6849339240 7267533220 8721039864 10901299830 14535066440 21802599660 36701042761 43605199320 73402085522 110103128283 146804171044 183505213805 220206256566 293608342088 367010427610 440412513132 550515641415 734020855220 880825026264 1101031282830 1468041710440 2202062565660 4404125131320